Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 895/74, 806/4540 quickly i.e. 360685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 895/74, 806/4540 is 360685.
LCM(895/74, 806/4540) = 360685
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 895/74,806/4540
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 895,806
Least Common Multiple of Numerators i.e. LCM of 895,806 is 721370.
GCF of Denominators means GCF of 74,4540 as per the given fractions.
GCF of 74,4540 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 895,806
Given numbers has no common factors except 1. So, there LCM is their product i.e 721370
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 895,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,806) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,806) x common factors =1 x 1 = 1
LCM(895,806) = ( 895 × 806 ) / 1
LCM(895,806) = 721370 / 1
LCM(895,806) = 721370
Lets's calculate GCF of 74,4540
2 | 74, 4540 |
37, 2270 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 721370/2
Therefore the LCM of Fractions 895/74,806/4540 is 360685
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 4540
List of positive integer factors of 4540 that divides 4540 without a remainder.
1,2,4,5,10,20,227,454,908,1135,2270,4540
Greatest Common Factor
We found the factors 74,4540 . The biggest common factor number is the GCF number.
So the greatest common factor 74,4540 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 895/74, 806/4540?
Answer: LCM of Numerators as per given numbers 895/74, 806/4540 is
LCM of Numerators i.e. for 895,806 is 721370
GCF of denominators i.e. for 74,4540 is 2.
Thus, LCM of Fractions is 360685.Finally, LCM of Fractions for 895/74, 806/4540 is 360685.